B.S. in Mathematics

Overview

Students must complete or demonstrate the following before declaring a major in Mathematics:

1. A letter of interest sent to the Mathematics Program Director.

2. One of the following:

a. A grade of A in MAT 130, Precalculus, orb. A grade of B or higher in MAT 150, Calculus I, orc. A grade of C or higher in MAT 205, Calculus II.

3. A cumulative grade point average of 2.5 or higher.

4. A letter of recommendation from one of the student's mathematics instructors. This letter is to focus on the student's creativity and potential for thriving as a mathematics major.

The Bachelor of Science degree in Mathematics will prepare students for graduate school. The Bachelor of Science degree is geared toward a more science-intensive curriculum than the Bachelor of Arts degree in Mathematics.

Other pre-major courses: Choose a two-semester course and laboratory sequence in one laboratory science and one additional semester (course and laboratory) in another laboratory science. (12 hours)

CODETITLECREDITS

BIO 107
Principles of Biology for Science Majors I4

BIO 108
Principles of Biology for Science Majors II4

CHE 107
General Chemistry I3

CHE 108
General Chemistry II3

CHE 109
General Chemistry Laboratory I1

CHE 110
General Chemistry Laboratory II1

PHY 151
Physics I3

PHY 152
Physics II3

PHY 153
Physics I Laboratory1

PHY 154
Physics II Laboratory1

Note: Lab sections should be taken concurrently.

Required mathematics courses 35-38 hours

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MAT 205
Calculus II4

MAT 206
Calculus III4

MAT 210
Mathematical Proofs3

MAT 307
Linear Algebra3

MAT 313
Introduction to Probability3

MAT 314
Applied Statistics I3

MAT 328
Differential Equations3

MAT 403
Senior Capstone in Mathematics3

MAT 410
Foundations of Geometry3

MAT 434
Abstract Algebra3

MAT 451
* Internship3

MAT 455
Advanced Calculus I3

* EDU 648 may be substituted for MAT 451.

Elective mathematics courses 6 hours

Choose from:

CODETITLECREDITS

MAT 320
History of Mathematics3

MAT 340
Introduction to Number Theory3

MAT 348
Introduction to Cryptography3

MAT 360
Intro to Operations Research3

MAT 361
Numerical Analysis3

MAT 414
Applied Statistics II3

MAT 445
Introduction to Complex Analysis3

MAT 456
Advanced Calculus II3

MAT 495
Special Topics1-5

Recommended coursework 6-12 hours

CODETITLECREDITS

One or two years of a foreign language, preferably German or French

Courses

BIO 107 - Principles of Biology for Science Majors I (4)

This course covers the fundamentals of biomolecules, cell physiology, respiration and photosynthesis, and genetics. In laboratory, students will develop and test hypotheses by designing their own experiments to better understand different biological concepts. Students will also learn how to use a microscope and pipettors and will write laboratory reports in the same format as professional journal articles. This is one of two courses of introductory biology for science majors. BIO107 and BIO108 can be taken in either order. BIO 107 and BIO 108 are designed for students who want to major in biology or another science, or who plan to attend dental, veterinary, or medical school after graduation. Three hours of lecture and one two-hour laboratory per week.

Course Fee: $75.00

BIO 108 - Principles of Biology for Science Majors II (4)

This course covers the fundamentals of evolution, comparative biodiversity, human and animal anatomy and physiology, and ecology and environmental science. In laboratory, students will develop and test hypotheses by designing their own experiments to better understand different biological concepts. Students will also learn how to use computer simulation models to predict outcomes, grow and enumerate bacteria and plants, and write laboratory reports in the same format as professional journal articles. This is one of two courses of introductory biology for science majors. BIO107 and BIO108 can be taken in either order. BIO 107 and BIO 108 are designed for students who want to major in biology or another science, or who plan to attend dental, veterinary, or medical school after graduation. Three hours of lecture and one two-hour laboratory per week.

Course Fee: $75.00

BIO 201 - Research Methods in the Sciences (4)

This course will provide an overview of descriptive and experimental research methods in the sciences. Topics include research design and methodology, statistical analyses, responsible conduct of research, the use of animal and human subjects, and the critical analysis of published peer-reviewed research reports. Students will work in groups to design a research project, collect and analyze pilot data, and present the results. Development of scientific writing skills will be emphasized. Four hours of lecture per week.

Prerequisites: BIO 107 and BIO 108 or permission of the instructor

Course Fee: $35.00

CHE 107 - General Chemistry I (3)

Designed for science majors, this is the first of a two-semester sequence and is designed to help students become familiar with the properties and reactions of matter. This course will also address modern applications of these concepts. Specific topics for this course include: observation of properties and changes, scientific method, unit conversions and measurements, chemical formulas, balancing equations, predicting products and yields, reactions and reaction types, the Ideal Gas Law, thermodynamics, molecular and atomic structure of matter, and orbital hybridization.

CHE 108 - General Chemistry II (3)

Designed for science majors, this course is the second of a two-semester sequence and is designed to help students become familiar with the properties and reactions of matter. This course will also address modern applications of these concepts. Specific topics for this course include: chemical bonding concepts, solution chemistry, colligative properties, kinetics, equilibrium, acids and bases, solubility and equilibria, entropy, free energy, electrochemistry, and nuclear chemistry.

Prerequisites: CHE107

Co-requisites: CHE110

CHE 109 - General Chemistry Laboratory I (1)

A laboratory course to accompany CHE 107, this course enables students to develop skills appropriate to the first-year chemistry course for science majors. Experiments for this course include: observation of properties and changes, measurements, observing activities and reactions for the various types of reactions, obtaining quantitative and qualitative information regarding products, and the use of computer simulations.

Co-requisites: CHE 107

Course Fee: $75.00

CHE 110 - General Chemistry Laboratory II (1)

A laboratory course to accompany CHE 108, this course enables students to develop skills appropriate to the first-year chemistry course for science majors. Experiments for this course include: quantifying thermodynamic changes, observing colligative properties, evaluation of chemical kinetics, evaluation of acid/base reactions via titration, and the use of computer simulations.

Prerequisite: CHE 109Co-requisites: CHE 108

Course Fee: $75.00

ITS 110 - Programming Fundamentals (3)

This course introduces fundamental concepts of computer programming. Students learn program logic, flow charting, and problem solving through analysis, development, basic debugging and testing procedures. Topics include variables, expressions, data types, functions, decisions, loops, and arrays. Students will use the knowledge and skills gained throughout this course to develop a variety of simple programs.

Prerequisite or co-requisite: MAT 130 or permission of instructor.

Course Fee: $60.00

MAT 130 - Precalculus (4)

This course emphasizes the meaning and application of the concepts of functions. It covers polynomial, rational, exponential, logarithmic and trigonometric functions and their graphs, trigonometric identities, and sequences and series. Passing both MAT 125 and 126 is equivalent to passing MAT 130.

Prerequisites: A grade of C or above in MAT 055 or the equivalent, or a satisfactory score on appropriate placement exam.

MAT 150 - Calculus I (4)

Limit processes, including the concepts of limits, continuity, differentiation, and integration of functions. Applications to physical problems will be discussed.

Prerequisite: A grade of C or better in either MAT 126 or MAT 130.

MAT 205 - Calculus II (4)

Applications of integration, inverse functions, the natural logarithm and exponential functions, and hyperbolic functions. Techniques of integration, sequences, series of numbers and functions, and Taylor series.

MAT 307 - Linear Algebra (3)

This course covers the fundamental concepts of vector spaces, linear transformations, systems of linear equations, and matrix algebra from a theoretical and a practical point of view. Results will be illustrated by mathematical and physical examples. Important algebraic (e.g., determinants and eigenvalues), geometric (e.g., orthogonality and the Spectral Theorem), and computational (e.g., Gauss elimination and matrix factorization) aspects will be studied.

Prerequisite: MAT 205 or permission of the Mathematics Program Director.

MAT 313 - Introduction to Probability (3)

This course is the first part of a two-semester sequence with MAT 314, with a focus on basic probability. It covers descriptive statistics, sample spaces and events, axioms of probability, counting techniques, conditional probability and independence, distribution of discrete and continuous random variables, joint distributions, and the central limit theorem.

Prerequisites: MAT 205

MAT 314 - Applied Statistics I (3)

This course is the second part of a two-semester course sequence with MAT 313, with a focus on applied statistics. It covers basic statistical concepts, graphical displays of data, sampling distribution models, hypothesis testing, and confidence intervals. A statistical software package is used.

Prerequisite: MAT 313

MAT 320 - History of Mathematics (3)

A survey of the history of mathematics from antiquity through modern times.

Prerequisite: MAT 205.

MAT 328 - Differential Equations (3)

Ordinary differential equations of first-order and first-degree, high order linear ordinary differential equations with constant coefficients, and properties of solutions.

Prerequisites: ITS 110 or the equivalent; MAT 206; or permission of the department chair

MAT 403 - Senior Capstone in Mathematics (3)

This course is for mathematics majors in their last year of the program, and is intended to introduce students to research and literature in mathematics. Students will produce two major products: (1) a literature review research paper on an approved topic of their choice; and (2) an ASL presentation based on their final research paper.

Prerequisite: Permission of the instructor.

MAT 410 - Foundations of Geometry (3)

A survey of Euclidean, non-Euclidean, and other geometries. The emphasis will be on formal axiomatic systems.

Prerequisite: MAT 150, 210; or permission of the instructor

MAT 414 - Applied Statistics II (3)

This course covers statistical techniques with applications to the type of problems encountered in real-world situations. These topics include categorical data analysis, simple linear regression, multiple regression, and analysis of variance. A statistical software package is used.

Prerequisite: A grade of B or above in MAT 314; or permission of the instructor.

MAT 434 - Abstract Algebra (3)

An axiomatic treatment of groups, rings, and fields that bridges the gap between concrete examples and abstraction of concepts to general cases.

Prerequisite: MAT 206, 210, 307, or permission of the the Mathematics Program Director.

MAT 445 - Introduction to Complex Analysis (3)

This is an introductory course in complex analysis. The algebra of complex numbers, analytic functions, contour integration, Cauchy integral formula, theory of residues and poles, and Taylor and Laurent series.

Prerequisite: MAT 206 and MAT 210, or permission of the instructor

MAT 451 - Internship (3)

This is a one-semester internship in which the student works for at least 60 hours in an applied mathematical or statistical setting under the supervision and guidance of the course instructor and on-site professionals in the field.

Prerequisite: Mathematics major and permission of the instructor.

MAT 455 - Advanced Calculus I (3)

This course is the first part of a two-semester course sequence with MAT 456. This course covers a theoretical approach to calculus of functions of one and several variables. Limits, continuity, differentiability, Reimann integrability, sequences, series, and contour integration.

Prerequisites: MAT 206, 210, 307

MAT 456 - Advanced Calculus II (3)

This course is the second part of a two-semester course sequence with MAT 455. This course covers a theoretical approach to calculus of functions of one and several variables. Limits, continuity, differentiability, Reimann integrability, sequences, series, and contour integration.

Prerequisite: MAT 455

MAT 495 - Special Topics (1-5)

Special topics in the discipline, designed primarily for seniors who are majors or minors. Students may enroll in 495 Special Topics multiple times, as long as the topics differ.

Prerequisite: Permission of the department chair

PHY 151 - Physics I (3)

This introductory physics course develops a view of the universe as a clocklike mechanism where change is continuous, observers do not affect their measurements, identical experiments yield identical outcomes and the laws of physics are never violated. It uses methods of calculus to investigate topics in the kinematics and dynamics of particles and rigid bodies, phases of matter, geometrical optics, optical instruments and Einstein's theory of relativity.

Prerequisite: MAT 150

PHY 152 - Physics II (3)

This introductory physics course develops a view of the universe as a realm of uncertain possibilities, where change may be discontinuous, measuring may cause different experimental results, identical experiments yield many different outcomes and the laws of physics are violated under certain conditions. It uses methods of calculus to investigate topics in electricity and magnetism, vibrations, wave motion, quantum physics, atomic and nuclear physics, heat, ideal gas laws, thermodynamics, and quantum statistical physics.

Prerequisite: PHY 151

PHY 153 - Physics I Laboratory (1)

This is the companion laboratory course to PHY151. Through a sequence of selected experiments, students will practice experiment design, report writing, use of standard instruments, data visualization, and error analysis skills.

Prerequisite/co-requisite: PHY 151

Course Fee: $75.00

PHY 154 - Physics II Laboratory (1)

This is the companion laboratory course to PHY152. Through a sequence of selected experiments, students will practice experiment design, report writing, use of standard instruments, data visualization, and error analysis skills.